The Gaza Strip seems very poorly served by the Palestinian Authority, let alone Israel. But, the area has relatively stable borders and it would likely have a stable government in Hamas. So, what if Gaza just declared independence as the government with sole control over the Gaza Strip?
Would Gaza get recognized by other countries? Could it parlay the recognition into forcing a permanent peace with Israel as becoming a recognized country puts Israeli treatment of it into more known sections of international law?
Nothing would change. For a start, PA doesn't control gaza so can't service it, and secondly israel and Egypt are both blockading Gaza. Independent Gaza would continue to have nothing.
Except that a blockade is an act of war and a lot of other international laws start applying to the conflict.
That'd be the good ending, but without the world recognizing their independence (and they won't) that ain't happening.